Strain-rate dependence of the effective viscosity under steady-wave shock compression

Relationships among Hugoniot pressure, effective viscosity, and strain rate under conditions of steady-wave shock compression are predicted based on the assumption of invariance of a shock property equal to the product of the energy dissipated in shock compression and the rise time of the steady wave. Effective viscosity is found to decrease as η∼ε̇−1/2, while strain rate increases as ε̇∼p4h with Hugoniot pressure. These results are consistent with steady-wave profile measurements on aluminum.